New posts in Function And Relation Composition

Find three non-constant, pairwise unequal functions $f,g,h:\mathbb R\to \mathbb R$...

One-Way Inverse

Crazy Iterated Square Roots

Functional "Square Root" of $1/(x+1)$

Find all increasing idempotent functions on $\mathbb{R}$

Half iteration of exponential function

What is the term given to two functions when their order of composition does not matter?

Composition relation of R1 ∘ R2

Good closed form approximation for iterates of $x^2+(1-x^2)x$

Prove that for any polynomial $P(x)$ there exist polynomials $F(x)$ and $G(x)$ such that $F\left(G(x) \right)-G\left(F(x) \right)=P(x)$